I have the following DataFrame containing song names, their peak chart positions and the number of weeks they spent at position no 1:

                                          Song            Peak            Weeks
76                            Paperback Writer               1               16
117                               Lady Madonna               1                9
118                                   Hey Jude               1               27
22                           Can't Buy Me Love               1               17
29                          A Hard Day's Night               1               14
48                              Ticket To Ride               1               14
56                                       Help!               1               17
109                       All You Need Is Love               1               16
173                The Ballad Of John And Yoko               1               13
85                               Eleanor Rigby               1               14
87                            Yellow Submarine               1               14
20                    I Want To Hold Your Hand               1               24
45                                 I Feel Fine               1               15
60                                 Day Tripper               1               12
61                          We Can Work It Out               1               12
10                               She Loves You               1               36
155                                   Get Back               1                6
8                               From Me To You               1                7
115                              Hello Goodbye               1                7
2                             Please Please Me               2               20
92                   Strawberry Fields Forever               2               12
93                                  Penny Lane               2               13
107                       Magical Mystery Tour               2               16
176                                  Let It Be               2               14
0                                   Love Me Do               4               26
157                                  Something               4                9
166                              Come Together               4               10
58                                   Yesterday               8               21
135                       Back In The U.S.S.R.              19                3
164                         Here Comes The Sun              58               19
96       Sgt. Pepper's Lonely Hearts Club Band              63               12
105         With A Little Help From My Friends              63                7

I'd like to rank these songs in order of popularity, so I'd like to sort them according to the following criteria: songs that reached the highest position come first, but if there is a tie, the songs that remained in the charts for the longest come first.

I can't seem to figure out how to do this in Pandas.